3 citations · 4 across the 3 of their papers we have counts for
8 papers
On a general solution of the one-dimensional stationary Schrodinger equation
Vladislav V. Kravchenko
The general solution of the one-dimensional stationary Schroedinger equation in the form of a formal power series is considered. Its efficiency for numerical analysis of initial va…
On a complex differential Riccati equation
Kira V. Khmelnytskaya, Vladislav V. Kravchenko
We consider a nonlinear partial differential equation for complex-valued functions which is related to the two-dimensional stationary Schrodinger equation and enjoys many propertie…
On Beltrami fields with nonconstant proportionality factor on the plane
Vladislav V. Kravchenko, Hector Oviedo
We consider the equation rotB+aB=0 (1) in the plane with a being a real-valued function and show that it can be reduced to a Vekua equation of a special form. In the case when a de…
New applications of pseudoanalytic function theory to the Dirac equation
Antonio Castaneda, Vladislav V. Kravchenko
In the present work we establish a simple relation between the Dirac equation with a scalar and an electromagnetic potentials in a two-dimensional case and a pair of decoupled Veku…
On a relation of pseudoanalytic function theory to the two-dimensional stationary Schroedinger equation and Taylor series in formal powers for its solutions
Vladislav V. Kravchenko
We consider the real stationary two-dimensional Schroedinger equation. With the aid of any its particular solution we construct a Vekua equation possessing the following special pr…
On the reduction of the multidimensional Schroedinger equation to a first order equation and its relation to the pseudoanalytic function theory
Vladislav V. Kravchenko
Given a particular solution of a one-dimensional stationary Schroedinger equation (SE) this equation of second order can be reduced to a first order linear differential equation. T…